composite functions

Question

find (gof)(x) given g(x)=x2 and f(x)=2x-1

Answer 1

Hi Shonna,

 

(g o f) = g(f(x))

 

g(x) = x²,  f(x) = 2x - 1

 

Basically, you put f(x) inside of g(x): every x for g(x) will be f(x).

 

x²   --->   (2x - 1)²  =   4x² -4x + 1     That's it.

 

Good luck to you.

 

Yohan Chu   (LV  NV)